1363104000 has 216 divisors, whose sum is σ = 4905882072. Its totient is φ = 363417600.

The previous prime is 1363103977. The next prime is 1363104037. The reversal of 1363104000 is 4013631.

It can be written as a sum of positive squares in 4 ways, for example, as 195105024 + 1167998976 = 13968^2 + 34176^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285634 + ... + 290366.

It is an arithmetic number, because the mean of its divisors is an integer number (22712417).

Almost surely, 2^1363104000 is an apocalyptic number.

1363104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1363104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452941036).

1363104000 is an abundant number, since it is smaller than the sum of its proper divisors (3542778072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1363104000 is an equidigital number, since it uses as much as digits as its factorization.

1363104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1363104000 is about 36920.2383524267. The cubic root of 1363104000 is about 1108.7739079210.

Adding to 1363104000 its reverse (4013631), we get a palindrome (1367117631).

The spelling of 1363104000 in words is "one billion, three hundred sixty-three million, one hundred four thousand".